## anonymous one year ago Find x in this 45°-45°-90° triangle.

1. anonymous

2. anonymous

the diagonal is the side times $$\sqrt2$$ \that means $x\times \sqrt2=12$ making $x=\frac{12}{\sqrt2}$

3. anonymous

you probably have to rationalize the denominator

4. anonymous

do you know how to do that?

5. anonymous

I don't. this is from a year ago and my school is making me do it again. if you dont mind could you go step by step for me?

6. anonymous

sure

7. anonymous

to get the radical out of the denominator in $$\frac{12}{\sqrt2}$$ multiply by $$\frac{\sqrt2}{\sqrt2}$$ i.e. $\frac{12}{\sqrt2}\times \frac{\sqrt2}{\sqrt2}$

8. anonymous

you get $\frac{12\sqrt2}{2}$ then reduce the fraction

9. anonymous

do i solve 12 square root 2? or leave it alone?

10. anonymous

you do not "solve" anything, you reduce the fraction

11. anonymous

divide 12 by 2 in other words

12. anonymous

6 square root 2?

13. anonymous

yes

14. anonymous

you notice that should fit nicely in to your template

15. anonymous

Thank you so much